Consider F = (7xyz, 3x? + 2y² + 522, 3x + 6y + 4z). Then curlF = (6+ Az, 7xy – 3, Bx – 7xz) What is the value of A? (no answer)

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A: To evaluate the first and second derivatives of f(x)

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A: Given: y=2x+2t=x+1

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A: We are given the function all for two variable for which we need to verify if the given set is…

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Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

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A: we have to determine such that 3x + 2y – 7 = 0 is perpendicular to 2x -By + 2 = 0.

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Q: [38] Evaluate f, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

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Q: Let a > 9 be a constant. Evaluate 3z2 + 30x + 30 + 4a dz (3x + a)(x² + 6x + 10)

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Q: Given f(x, y) = - 5a4 – 4x²y³ + 6y°, find - fa(x, y) = fy(x, y) = %3D fez(x, y) =

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

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A: We have to find partial derivative

Q: Find fsh r div poive 2 40) f"&) = 20xs +12x²+4, f(O) = 8, f() =5 %3D

A: topic - integration f(x) = x5+x4+2x2-7x+8

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Q: Find the convolution of (a) Ila * IIa. (b) f(x) * f(x), where f(x) = e-l=l, -0 < x < o. %3D

A: Convolution : The convolution of two functions f(x) and g(x) is given by f(x)*g(x)=∫-∞∞f(y)g(x-y)dy…

Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

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Q: If f(x, y) = √6xy - 4x + 30y then fa = Select one: O True O False -4√6xy+3y √6xy

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Q: r {(2) = In(V32" + 5x° + + 6), find f'(r). Use exact values. If

A: Given function is fx=ln3x6+5x3+67      =ln3x6+5x3+617=17ln3x6+5x3+6

Q: Consider F = (5xyz, 5x² + 5y² + 3z², 8x + 4y + 3z). %3D Then curlF = (4+ Az, 5æy – 8, Bx – 5æz) What…

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A: Let us consider function  f(x)=a2x+2btanx+x+cln(4x)+d2x2                                        (1)…

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A: Concept - we have given a function F(x) , and asking about C=3 ,so substitute c in given…

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Q: Find f if ∇f = 4xy i + (2x^2 + 8y) j

A: Here I am attaching image so that you understand each and every step.

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Q: .If f(z) = 2° + 9 and g(z) = a+ 12, find [go f](-1). %3D

A: Givenf(x) = x3 +9, g(x) = x+12g ∘ f-1 = ?

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Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: Find f'ox) for the Jollowing funchion. f(x)=x²ln 9X

A: As we know that; The Power law; ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Chain rule:…

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Q: Given that F′=f, use the substitution method to show that ∫f(ax+b) dx=1aF(ax+b)+C, for nonzero…

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Q: Probelm 10 Show that Vf(x) = V²f(x+T(y – x))(y – x) dr.

A: we will use the basic knowledge of integral and vector calculus to answer this question.

Q: 11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. %3D

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Q: the rAm t twico a and b A Jumby! f(x]=X-/ a(x)=5xj What is tglx)?

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Q: Suppose that f(x, y) = 4x + y on the domain D = {(x, y) | 1 < x < 2, a < y < 4}. D

A: Solution is in step 2

Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: Calculate h'(r) using the Product Rule if Mc)- (-3) (구+ ) = (2x – 3)(x² + 7) then h'(r) = ex' (x² +…

A: We will use product rule of derivative and comparing the terms with given terms of derivative to…

Q: Evaluate ffp Vx² + y² dA, where D is the domain in Figure 4 F : x² + y? = 4 G : (x – 1)? + y² = 1…

A: Convert the both circle equation in the polar form as x = r cos(theta) and y = r sin(theta):

Q: If f(a) = x+ Sx ,find (a) fezf"(20), C6) (f")'(20) 3.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.